{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3.2.3-幂律(伽马)变换\n",
    "## 参考资料\n",
    "[1] [机器视觉 OpenCV—python 数据增强](https://blog.csdn.net/wsp_1138886114/article/details/83028948)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pylab as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gamma_transform(img, gamma):\n",
    "    gamma_table = [np.power(x / 255.0, gamma) * 255.0 for x in range(256)]\n",
    "    gamma_table = np.round(np.array(gamma_table)).astype(np.uint8)\n",
    "    return cv2.LUT(img, gamma_table)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
<<<<<<< HEAD
       "<matplotlib.image.AxesImage at 0x7f2118dd1550>"
=======
       "<matplotlib.image.AxesImage at 0x7f304ada4850>"
>>>>>>> 04aa3ce0a90a952786057255a61efd9cf234c9e1
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread('../../data/moon.png',0)\n",
    "plt.imshow(img, 'gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
<<<<<<< HEAD
       "<matplotlib.image.AxesImage at 0x7f21144dee90>"
=======
       "<matplotlib.image.AxesImage at 0x7f30484c50d0>"
>>>>>>> 04aa3ce0a90a952786057255a61efd9cf234c9e1
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma = 0.5\n",
    "gammaedImg = gamma_transform(img, gamma)\n",
    "plt.imshow(gammaedImg, 'gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
<<<<<<< HEAD
       "<matplotlib.image.AxesImage at 0x7f2114454a90>"
=======
       "<matplotlib.image.AxesImage at 0x7f304842ec90>"
>>>>>>> 04aa3ce0a90a952786057255a61efd9cf234c9e1
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma = 5\n",
    "gammaedImg = gamma_transform(img, gamma)\n",
    "plt.imshow(gammaedImg, 'gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.7.4 64-bit ('base': conda)",
   "language": "python",
   "name": "python37464bitbasecondacb3ec4d305c44fe887804b43a376a3a9"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
